A statistical program is recommended. ONE-SAMPLE T TEST : The following observations are on stopping distance...

A statistical program is recommended.

ONE-SAMPLE T TEST :

The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions.

32.1

30.5

31.6

30.4

31.0

31.9

The report states that under these conditions, the maximum allowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distributed.

a) Determine the probability of a type II error when α = 0.01,σ = 0.65, and the actual value of μ is 31 (use statistical software or Table A.17). (Round your answer to three decimal places.)

b) Repeat this for μ = 32. (Round your answer to three decimal places.)

c) What is the smallest sample size necessary to have α = 0.01 and β = 0.10 when μ = 31 and σ = 0.65? (Round your answer to the nearest whole number.)

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Expert Solution

orchestra answered 1 year ago

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